Balloons are often filled with Helium gas because it weighs only about one-seventh of what air weighs under identical conditions. The buoyancy force, which can be expressed as, will push the balloon upward. (a) If a balloon has a diameter of 12m and carries two people, 85 kg each, determine the acceleration of the balloon when it is first released. Assume the density of air is 1.16 kg/m3, and neglect the weight of the ropes and the cage. (b) Also, determine the maximum amount of load, in kg, the balloon can carry.